- 9.1SE: The article “Gypsum Effect on the Aggregate Size and Geometry of Th...
- 9.2SE: The article referred to in Exercise 1 also considered the effect of...
- 9.3SE: Penicillin is produced by the Penicillium fungus, which is grown in...
- 9.4SE: The following MINITAB output is for a two-way ANOVA. Something went...
- 9.5SE: An experiment was performed to determine whether different types of...
- 9.6SE: The article “Stability of Silico-Ferrite of Calcium and Aluminum (S...
- 9.7SE: A component can be manufactured according to either of two designs ...
- 9.8SE: The article “Case Study Based Instruction of DOE and SPC” (J. Brady...
- 9.9SE: The article “Combined Analysis of Real-Time Kinematic GPS Equipment...
- 9.10SE: Vermont maple sugar producers sponsored a testing program to determ...
- 9.11SE: A civil engineer is interested in several designs for a drainage ca...
- 9.12SE: A process that manufactures vinyl for automobile seat covers was st...
- 9.13SE: In the article “Occurrence and Distribution of Ammonium in Iowa Gro...
- 9.14SE: The article “Enthalpies and Entropies of Transfer of Electrolytes a...
- 9.15SE: . Refer to Exercise 11.a. Compute the quantity the estimate of the ...
- 9.16SE: Refer to Exercise 14.a. Compute the quantity the estimate of the er...
- 9.17SE: The article “Factorial Experiments in the Optimization of Alkaline ...
- 9.18SE: The Williamsburg Bridge is a suspension bridge that spans the East ...
- 9.19SE: In the article “Nitrate Contamination of Alluvial Groundwaters in t...
- 9.20SE: The article cited in Exercise 19 provides measures of electrical co...
- 9.21SE: The article “Factorial Experiments in the Optimization of Alkaline ...
- 9.22SE: Fluid inclusions are microscopic volumes of fluid that are trapped ...
- 9.23SE: The article “Effect of Microstructure and Weathering on the Strengt...
- 9.24SE: The article “Influence of Supplemental Acetate on Bioremediation fo...
Solutions for Chapter 9: Statistics for Engineers and Scientists 4th Edition
Full solutions for Statistics for Engineers and Scientists | 4th Edition
2 k factorial experiment.
A full factorial experiment with k factors and all factors tested at only two levels (settings) each.
`-error (or `-risk)
In hypothesis testing, an error incurred by rejecting a null hypothesis when it is actually true (also called a type I error).
In a fractional factorial experiment when certain factor effects cannot be estimated uniquely, they are said to be aliased.
In statistical hypothesis testing, this is a hypothesis other than the one that is being tested. The alternative hypothesis contains feasible conditions, whereas the null hypothesis speciies conditions that are under test
A study in which a sample from a population is used to make inference to a future population. Stability needs to be assumed. See Enumerative study
Sequences of independent trials with only two outcomes, generally called “success” and “failure,” in which the probability of success remains constant.
An effect that systematically distorts a statistical result or estimate, preventing it from representing the true quantity of interest.
The portion of the variability in a set of observations that is due to only random forces and which cannot be traced to speciic sources, such as operators, materials, or equipment. Also called a common cause.
Any test of signiicance based on the chi-square distribution. The most common chi-square tests are (1) testing hypotheses about the variance or standard deviation of a normal distribution and (2) testing goodness of it of a theoretical distribution to sample data
The mean of the conditional probability distribution of a random variable.
Conditional probability distribution
The distribution of a random variable given that the random experiment produces an outcome in an event. The given event might specify values for one or more other random variables
Conditional probability mass function
The probability mass function of the conditional probability distribution of a discrete random variable.
The probability 1?a associated with a conidence interval expressing the probability that the stated interval will contain the true parameter value.
A dimensionless measure of the linear association between two variables, usually lying in the interval from ?1 to +1, with zero indicating the absence of correlation (but not necessarily the independence of the two variables).
The amount of variability exhibited by data
Erlang random variable
A continuous random variable that is the sum of a ixed number of independent, exponential random variables.
Estimator (or point estimator)
A procedure for producing an estimate of a parameter of interest. An estimator is usually a function of only sample data values, and when these data values are available, it results in an estimate of the parameter of interest.
A property of a collection of events that indicates that their union equals the sample space.
A model that contains only irstorder terms. For example, the irst-order response surface model in two variables is y xx = + ?? ? ? 0 11 2 2 + + . A irst-order model is also called a main effects model
A function that is used to determine properties of the probability distribution of a random variable. See Moment-generating function